100416600441 has 12 divisors (see below), whose sum is σ = 145136144868. Its totient is φ = 66902887584.

The previous prime is 100416600439. The next prime is 100416600443. The reversal of 100416600441 is 144006614001.

100416600441 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 16 + 600 + 4 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (100416600439) and next prime (100416600443).

It can be written as a sum of positive squares in 2 ways, for example, as 30511355625 + 69905244816 = 174675^2 + 264396^2 .

It is not a de Polignac number, because 100416600441 - 2¹ = 100416600439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100416600443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444070 + ... + 3473103.

It is an arithmetic number, because the mean of its divisors is an integer number (12094678739).

Almost surely, 2^100416600441 is an apocalyptic number.

It is an amenable number.

100416600441 is a deficient number, since it is larger than the sum of its proper divisors (44719544427).

100416600441 is a wasteful number, since it uses less digits than its factorization.

100416600441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918792 (or 6918789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 100416600441 in words is "one hundred billion, four hundred sixteen million, six hundred thousand, four hundred forty-one".